MS-代数的同余核  

Congruence Kernel of MS-Algebras

作　　者：王尊全[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《三峡大学学报（自然科学版）》2007年第5期461-463,共3页Journal of China Three Gorges University：Natural Sciences

摘　　要：讨论同余关系θ的唯一性,其中θ是MS-代数L的以理想I为核的同余关系,主要结果有:(1)分别是L的同余核,d1≥d,如果以(d]为核的同余关系是唯一的,则以(d1]为核的同余关系是唯一的.(2)在商代数L/θ中,给出([d]]是同余核的充分必要条件.The uniqueness of congruence θ is dicussed,where θ is congruence on MS-algebra L such that ker θ=I,the main results are obtained as follows：（1） Let（d],（d1] be respectively congruence kernels of MS-algebra L with d1≥d,if there exists the unique congruence θ on L such that Ker θ=（d],then there also exists the unique congruence θ1 on L such that Ker θ1=（d1];（2）The sufficient and necessary condition of that（[b]） is congruence kernel in L/θ,where θ is the smallest congruence such that ker θ=（d].

关 键 词：MS-代数 同余核 理想 同余关系 商代数 

分 类 号：O153.1[理学—数学]